A186498 Adjusted joint rank sequence of (f(i)) and (g(j)) with f(i) before g(j) when f(i)=g(j), where f(i)=3i-2 and g(j)=j-th triangular number. Complement of A186497.

2, 3, 5, 8, 10, 13, 17, 20, 24, 29, 33, 38, 44, 49, 55, 62, 68, 75, 83, 90, 98, 107, 115, 124, 134, 143, 153, 164, 174, 185, 197, 208, 220, 233, 245, 258, 272, 285, 299, 314, 328, 343, 359, 374, 390, 407, 423, 440, 458, 475, 493, 512, 530, 549, 569, 588, 608, 629, 649, 670, 692, 713, 735, 758, 780, 803, 827, 850, 874, 899, 923, 948, 974, 999, 1025, 1052, 1078, 1105, 1133, 1160, 1188, 1217, 1245, 1274, 1304

Offset

1,1

Links

Table of n, a(n) for n=1..85.

Example

First, write
1..4..7.10..13..16..19..22..25..28..31. (3i-2),
1.3..6..10....15.......21.......28.....(j(j+1)/2).
Then replace each number by its rank, where ties are settled by ranking 3i-2 before j(j+1)/2:
a=(1,4,6,7,9,11,12,14,15,16,18,...)=A186497,
b=(2,3,5,8,10,13,17,20,24,29,33,..)=A186498.

Mathematica

(See A186497.)

Crossrefs

Cf. A186350, A186497, A186499, A186500.

Sequence in context: A098389 A215260 A004977 * A226330 A226329 A325548

Adjacent sequences: A186495 A186496 A186497 * A186499 A186500 A186501

Keyword

nonn

Author

Clark Kimberling, Feb 22 2011

Status

approved